Apparently First Closed-Form Solution for Vibration of Functionally Graded Rotating Beams

Elishakoff, Isaac; Zaza, N.; Curtin, J.; Hashemi, Javad

doi:10.2514/1.j054256

Cited by 1 publication

(1 citation statement)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this study, the academics noted that the centrifugal stiffening effect of rotating beams can be solved in three ways: mixed deformation variables using a non-Cartesian coordinate system, centrifugal work potentials, and nonlinear stress-strain. With the emergence of new materials, researchers began to propose rotating Euler-Bernoulli beam models of various nonuniform materials, establishing a series of vibration analysis models such as rotating single-directional functionally graded beams (Elishakoff et al, 2015), functionally graded pre-twisted beams (Fang et al, 2018), bidirectional functionally graded beams (Oh and Yoo, 2016), and multilayer composite beams (Jafari-Talookolaei, 2015).…”

Section: One-dimensional Blade Modelmentioning

confidence: 99%

Review of Vibration Analysis and Structural Optimization Research for Rotating Blades

Zhong,

Jin,

Chen

et al. 2024

J. Marine. Sci. Appl.

View full text Add to dashboard Cite

Blades are important parts of rotating machinery such as marine gas turbines and wind turbines, which are exposed to harsh environments during mechanical operations, including centrifugal loads, aerodynamic forces, or high temperatures. These demanding working conditions considerably influence the dynamic performance of blades. Therefore, because of the challenges posed by blades in complex working environments, in-depth research and optimization are necessary to ensure that blades can operate safely and efficiently, thus guaranteeing the reliability and performance of mechanical systems. Focusing on the vibration analysis of blades in rotating machinery, this paper conducts a comprehensive literature review on the research advancements in vibration modeling and structural optimization of blades under complex operational conditions. First, the paper outlines the development of several modeling theories for rotating blades, including one-dimensional beam theory, two-dimensional plate–shell theory, and three-dimensional solid theory. Second, the research progress in the vibrational analysis of blades under aerodynamic loads, thermal environments, and crack factors is separately discussed. Finally, the developments in rotating blade structural optimization are presented from material optimization and shape optimization perspectives. The methodology and theory of analyzing and optimizing blade vibration characteristics under multifactorial operating conditions are comprehensively outlined, aiming to assist future researchers in proposing more effective and practical approaches for the vibration analysis and optimization of blades.

show abstract

Section: One-dimensional Blade Modelmentioning

confidence: 99%